Chaotic Time Series Analysis | Zendy

Zonghua Liu | Zendy

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Chaotic Time Series Analysis

Author(s) -

Zonghua Liu

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/720190

Subject(s) - lyapunov exponent , attractor , series (stratigraphy) , chaotic , dimension (graph theory) , synchronization (alternating current) , dynamical systems theory , time series , mathematics , computer science , mathematical analysis , pure mathematics , topology (electrical circuits) , physics , artificial intelligence , paleontology , combinatorics , quantum mechanics , biology , statistics

Chaotic dynamical systems are ubiquitous in nature and most of them does not have an explicit dynamical equation and can be only understood through the available time series. We here briefly review the basic concepts of time series and its analytic tools, such as dimension, Lyapunov exponent, Hilbert transform, and attractor reconstruction. Then we discuss its applications in a few fields such as the construction of differential equations, identification of synchronization and coupling direction, coherence resonance,and traffic data analysis in Internet

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